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Finding the Fourth Proportional to 362.88, 496.96 and 358.08

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Solution

The fourth proportional to 362.88, 496.96 and 358.08 is: 490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 496.96 = 358.08 : x
  2. Step 2: Convert to fraction form
    362.88/496.96 = 358.08/x
  3. Step 3: Cross multiply
    362.88x = 496.96 × 358.08
  4. Step 4: Simplify right side
    362.88x = 177,951.44
  5. Step 5: Solve for x
    x = 177,951.44/362.88
  6. Step 6: Final answer
    x = 490.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.